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3 years ago

10 PPOINTS AND BRAINLIEST if right Parallel lines s and t are cut by a transversal, r, as shown.

Mathematics

2 answers:

V125BC [204]3 years ago

6 0

Answer:

According to this figure .

7x-2=6x+18

x=20

Step by Step Explanation:

7x-2+y=180

y=180-138

therefore angle 1 is equal to 42 degrees

gizmo_the_mogwai [7]3 years ago

6 0

<h3>Answer: 42 degrees (choice B)</h3>

=================================

How I got this answer:

The alternate exterior angles (7x-2) and (6x+18) are congruent due to the fact that line s is parallel to line t.

Set the two expressions equal to one another. Solve for x

7x-2 = 6x+18

7x-2+2 = 6x+18+2 .... adding 2 to both sides

7x = 6x+20

7x-6x = 6x+20-6x .... subtracting 6x from both sides

x = 20

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If x = 20, then we can find the measure of angle (7x-2)

7x-2 = 7*20-2 = 140-2 = 138

As a check, let's see what angle (6x+18) is too

6x+18 = 6*20+18 = 120+18 = 138

We get the same result for each angle, so that confirms x = 20 is correct.

------------

Since angle (7x-2) is 138 degrees, this means

angle 1 = 180 - (7x-2)

angle 1 = 180 - 138

angle 1 = 42 degrees

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Line A passes through the points (-5, 1) and (5, 11).

11111nata11111 [884]

Line A: $m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}} = \frac{11 - 1}{5 - (-5)} = \frac{10}{5 + 5} = \frac{10}{10} = 1$
y - y₁ = m(x - x₁)
y - 1 = 1(x - (-5))
y - 1 = 1(x + 5)
y - 1 = 1(x) + 1(5)
y - 1 = x + 5
   + 1    + 1
   y = x + 6

Line B: $m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}} = \frac{20 - (-1)}{-3 - 4} = \frac{20 + 1}{-7} = \frac{21}{-7} = -3$
   y - y₁ = m(x - x₁)
y - (-1) = -3(x - 4)
   y + 1 = -3(x) + 3(4)
   y + 1 = -3x + 12
   - 1 - 1
   y = -3x + 11

y = x + 6
y = -3x + 11

   x + 6 = -3x + 11
+ 3x     + 3x
   4x + 6 = 11
       - 6   - 6
   4x = 5
      4   4
       x = 1¹/₄
   y = x + 6
   y = 1¹/₄ + 6
   y = 7¹/₄
     (x, y) = (1¹/₄, 7¹/₄)

The answer is B.

4 0

4 years ago

Expand the expression: -7 (4y -3x) - 8

givi [52]

Answer:

-7 (4y-3x) - 8 = 0

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

What is the solution to the system of equations? ⎧⎩⎨⎪⎪x+3y−z=24x+2y+5z=13x+z=12 (−4, 1, −3) (3, 0, 3) (5, −2, −3) (−1, 2, 3)

snow_tiger [21]

<h3>Answer:</h3>

(5, -2, -3)

<h3>Explanation:</h3>

We assume your equations are ...

x +3y -z = 2
4x +2y +5z = 1
3x +0y +z = 12

These have solution (x, y, z) = (5, -2, -3).

_____

Trying the choices in the last equation eliminates the first and last. Trying the second choice in the first equation eliminates it, leaving the 3rd choice as the answer you're looking for.

We also know because we can ask a graphing calculator to solve the matrix equation (or row-reduce the augmented matrix).

<em>Comment on this problem</em>

The hardest part of this problem is figuring your intent. The equations are not well-separated, so we have a hard time telling what is a constant and what is a coefficient. It took a couple of guesses to sort it out. A little editing before posting would be helpful.

8 0

3 years ago

Factor the expression.

givi [52]

Factors 5x are absolutely correct
Explanation

4 0

3 years ago

The temperature on Wednesday evening was -5 Fahrenheit. The temperature decreased another 8 degrees throughout the night. What w

katovenus [111]

Answer:

The Temperature on Thursday morning will be -13° Fahrenheit.

Step-by-step explanation:

Given:

Temperature on Wednesday evening = -5 Fahrenheit

Temperature decreased Throughout the night = 8 degrees

We need to find the Temperature on Thursday morning.

Now we know that;

The temperature decreased means the temperature went more below the current temperature.

So To calculate Temperature on Thursday morning we will Subtract the temperature which got decreased by the temperature noted on Wednesday evening.

framing in equation form we get;

Temperature on Thursday morning = $-5-8 =-13\°\ Fahrenheit$

Hence The Temperature on Thursday morning will be -13° Fahrenheit.

7 0

3 years ago